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A posteriori error estimates for mixed finite element discretizations of the Neutron Diffusion equations
Patrick Ciarlet, Minh Hieu Do and François Madiot ESAIM: Mathematical Modelling and Numerical Analysis 57(1) 1 (2023) https://doi.org/10.1051/m2an/2022078
Pointwise A Posteriori Error Estimates for Discontinuous Galerkin Methods for Singularly Perturbed Reaction-Diffusion Equations
A coupled complex boundary expanding compacts method for inverse source problems
Ye Zhang, Rongfang Gong, Mårten Gulliksson and Xiaoliang Cheng Journal of Inverse and Ill-posed Problems 27(1) 67 (2019) https://doi.org/10.1515/jiip-2017-0002
A simple approach to reliable and robust a posteriori error estimation for singularly perturbed problems
Vadim G. Korneev Lecture Notes in Computational Science and Engineering, Advanced Finite Element Methods with Applications 128 221 (2019) https://doi.org/10.1007/978-3-030-14244-5_12
On Error Control in the Numerical Solution of Reaction–Diffusion Equation
A posteriori error estimation based on conservative flux reconstruction for nonconforming finite element approximations to a singularly perturbed reaction–diffusion problem on anisotropic meshes
Robust error bounds for finite element approximation of reaction–diffusion problems with non-constant reaction coefficient in arbitrary space dimension
Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems
Linda El Alaoui, Alexandre Ern and Martin Vohralík Computer Methods in Applied Mechanics and Engineering 200(37-40) 2782 (2011) https://doi.org/10.1016/j.cma.2010.03.024
Variationally consistent discretization schemes and numerical algorithms for contact problems
Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection–diffusion–reaction problems
Alexandre Ern, Annette F. Stephansen and Martin Vohralík Journal of Computational and Applied Mathematics 234(1) 114 (2010) https://doi.org/10.1016/j.cam.2009.12.009
Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods